太阳内部状态方程的路径积分形式I。有效域
The Solar-Interior Equation of State with the Path-Integral Formalism I. Domain of Validity
摘要:
这是第一个文件中的一个系列,涉及太阳物理应用的状态方程形式主义的基础上制定的所谓的“费曼-卡茨(FK)表示”。在这里,FK状态方程提出并适用于太阳能应用。它的有效性域进行评估。太阳的实际应用将在论文II中讨论。论文III将扩展目前的FK形式主义,以更高的秩序。FK状态方程的使用仅限于超过90%的氦被电离的物理条件。这包括太阳内部区域,大约是太阳半径的0.98。尽管有这个限制,在适用的太阳部分,FK状态方程有能力比目前在太阳建模中使用的状态方程更准确。FK方法特别适合于研究物理效应,如库仑屏蔽,束缚态,完全电离物质的复合开始,以及衍射和交换效应。日震学的定域能力允许对FK状态方程进行测试。这样的测试将有利于更好的太阳能模型和更严格的太阳能约束的状态方程。
英文摘要:
This is the first paper in a series that deals with solar-physics applications of the equation-of-state formalism based on the formulation of the so-called "Feynman-Kac (FK) representation". Here, the FK equation of state is presented and adapted for solar applications. Its domain of validity is assessed. The practical application to the Sun will be dealt with in Paper II. Paper III will extend the current FK formalism to a higher order. Use of the FK equation of state is limited to physical conditions for which more than 90% of helium is ionized. This incudes the inner region of the Sun out to about .98 of the solar radius. Despite this limitation, in the parts of the Sun where it is applicable, the FK equation of state has the power to be more accurate than the equations of state currently used in solar modeling. The FK approach is especially suited to study physical effects such as Coulomb screening, bound states, the onset of recombination of fully ionized species, as well as diffraction and exchange effects. The localizing power of helioseismology allows a test of the FK equation of state. Such a test will be beneficial both for better solar models and for tighter solar constraints of the equation of state.
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